John worked 40 hours and made $640. Tanya made $960 working for 60 hours. Who makes more per hour?

Mathematics

1 answer:

Levart [38]3 years ago

5 0

Answer:

they make the same per hour

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The number 2 in the expression 5 + 2x is called the

steposvetlana [31]

Answer:

Step-by-step explanation:

The coefficient of x is simply a number. The x gives it it's meaning. So if the coefficient of x changed from 2 to 6 that would mean there would 6 x's being added to five, not 2.

For example if x=2.

instead of 5 + 2*2

(which equals 9)

it would be 5 + 6*2

(which equals 17).

The difference between the answers is 4x, as there are an additional 4x's.

Hope this helps :)

4 0

3 years ago

A particular isotope has a half-life of 74 days. If you start with 1 kilogram of this isotope, how much will remain after 150

shtirl [24]

$\bf \stackrel{150~days}{\textit{Amount for Exponential Decay using Half-Life}} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &1\\ t=\textit{elapsed time}\dotfill &150\\ h=\textit{half-life}\dotfill &74 \end{cases} \\\\\\ A=1\left( \frac{1}{2} \right)^{\frac{150}{74}}\implies A=1\left( \frac{1}{2} \right)^{\frac{75}{37}}\implies \boxed{A\approx 0.24536}$

$\bf \stackrel{300~days}{\textit{Amount for Exponential Decay using Half-Life}} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &1\\ t=\textit{elapsed time}\dotfill &300\\ h=\textit{half-life}\dotfill &74 \end{cases} \\\\\\ A=1\left( \frac{1}{2} \right)^{\frac{300}{74}}\implies A=1\left( \frac{1}{2} \right)^{\frac{150}{37}}\implies \boxed{A\approx 0.060202}$